<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-23T21:12:53Z</responseDate><request verb="GetRecord" identifier="oai:uvadoc.uva.es:10324/68174" metadataPrefix="edm">https://uvadoc.uva.es/oai/request</request><GetRecord><record><header><identifier>oai:uvadoc.uva.es:10324/68174</identifier><datestamp>2024-12-03T14:45:18Z</datestamp><setSpec>com_10324_1129</setSpec><setSpec>com_10324_931</setSpec><setSpec>com_10324_894</setSpec><setSpec>col_10324_1193</setSpec></header><metadata><rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ore="http://www.openarchives.org/ore/terms/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:ds="http://dspace.org/ds/elements/1.1/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:edm="http://www.europeana.eu/schemas/edm/" xsi:schemaLocation="http://www.w3.org/1999/02/22-rdf-syntax-ns# http://www.europeana.eu/schemas/edm/EDM.xsd">
<edm:ProvidedCHO rdf:about="https://uvadoc.uva.es/handle/10324/68174">
<dc:creator>Le Gal, Olivier</dc:creator>
<dc:creator>Sanz Sánchez, Fernando</dc:creator>
<dc:creator>Speissegger, Patrick</dc:creator>
<dc:date>2017</dc:date>
<dc:description>Let ξ be an analytic vector field at (R3, 0) and I be an analytically&#xd;
non-oscillatory integral pencil of ξ; i.e., I is a maximal family of analytically&#xd;
non-oscillatory trajectories of ξ at 0 all sharing the same iterated tangents.&#xd;
We prove that if I is interlaced, then for any trajectory Γ ∈ I, the expansion&#xd;
Ran,Γ of the structure Ran by Γ is model-complete, o-minimal and polynomially&#xd;
bounded.</dc:description>
<dc:format>application/pdf</dc:format>
<dc:identifier>https://uvadoc.uva.es/handle/10324/68174</dc:identifier>
<dc:language>spa</dc:language>
<dc:title>Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
<edm:type>TEXT</edm:type>
</edm:ProvidedCHO>
<ore:Aggregation rdf:about="https://uvadoc.uva.es/handle/10324/68174#aggregation">
<edm:aggregatedCHO rdf:resource="https://uvadoc.uva.es/handle/10324/68174"/>
<edm:dataProvider>UVaDOC. Repositorio Documental de la Universidad de Valladolid</edm:dataProvider>
<edm:isShownAt rdf:resource="https://uvadoc.uva.es/handle/10324/68174"/>
<edm:isShownBy rdf:resource="https://uvadoc.uva.es/bitstream/10324/68174/1/2017_LeGal-Sanz-Speissegger_TRAMS.pdf"/>
<edm:provider>Hispana</edm:provider>
<edm:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/4.0/"/>
</ore:Aggregation>
<edm:WebResource rdf:about="https://uvadoc.uva.es/bitstream/10324/68174/1/2017_LeGal-Sanz-Speissegger_TRAMS.pdf">
<edm:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/4.0/"/>
</edm:WebResource>
</rdf:RDF></metadata></record></GetRecord></OAI-PMH>